What is the derivative of f(x)=x^{-6} ?

The derivative of f(x)=x^{-6} is -6/(x^7)

What is the first derivative of f(x)=x^{-6} ?

The first derivative of f(x)=x^{-6} is -6/(x^7)

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derivative of

f (x) = x^{- 6}

- \frac{6}{x ^{7}}

Solution steps

\frac{d}{d x} (x^{- 6})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 6 x^{- 6 - 1}

Simplify

- 6 x^{- 6 - 1} : - \frac{6}{x ^{7}}

= - \frac{6}{x ^{7}}

\frac{\partial}{\partial x} (\frac{1}{1 - \frac{5}{x}})

\int (e^{t} + 2 t + ln (t)) d t

y^{^{'}} = 5 y (1 - \frac{y}{7})

\frac{d}{d s} (1)

\frac{d}{d x} ((- 2 x - 3)^{5} (3 x + 1)^{3})

What is the derivative of f(x)=x^{-6} ?
The derivative of f(x)=x^{-6} is -6/(x^7)
What is the first derivative of f(x)=x^{-6} ?
The first derivative of f(x)=x^{-6} is -6/(x^7)